272053002240 has 448 divisors, whose sum is σ = 979504182720. Its totient is φ = 72523579392.

The previous prime is 272053002163. The next prime is 272053002251. The reversal of 272053002240 is 42200350272.

272053002240 is a `hidden beast` number, since 2 + 72 + 0 + 530 + 0 + 22 + 40 = 666.

272053002240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89578002 + ... + 89581038.

It is an arithmetic number, because the mean of its divisors is an integer number (2186393265).

Almost surely, 2^272053002240 is an apocalyptic number.

272053002240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272053002240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489752091360).

272053002240 is an abundant number, since it is smaller than the sum of its proper divisors (707451180480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

272053002240 is an frugal number, since it uses more digits than its factorization.

272053002240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3089 (or 3047 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The spelling of 272053002240 in words is "two hundred seventy-two billion, fifty-three million, two thousand, two hundred forty".